That is an interesting question. Control limits are used to establish whether a process is stable. It seems that you know that your process is not stable.
So I guess that you are okay with the fact that the parameter is increasing and you want to know if there is a change in the rate of increase?
A simple solution could be to use the difference between rows. You can easily create a column for this: Right-click on the parameter column header > New Formula Column > Row > Difference.
You can also create a moving average column in the same way, although I don't understand how this helps.
You might also want to look at the Range chart for your parameter. And also the CUSUM chart for parameter.
I have attached a simple example table with formula columns and saved scripts for different charts.
I hope that is helpful,
Phil